x'=-13x-8y-4z, y'=12x+7y+4z, z'=24x+16y+7z, where x=x(a), y=y(a), z=z(a) A) Write out the matrix B for the linear system B) Determine the eigenvectors for the eigenvalue -1 C)if another eigenvalue is 3 and the corresponding eigenvector is (-1,1,2) write out the general solution for all three eigenvectors in the system

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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x'=-13x-8y-4z, y'=12x+7y+4z, z'=24x+16y+7z, where x=x(a), y=y(a), z=z(a)

A) Write out the matrix B for the linear system
B) Determine the eigenvectors for the eigenvalue -1
C)if another eigenvalue is 3 and the corresponding eigenvector is (-1,1,2) write out the general solution for all three eigenvectors in the system. 

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